Home
Class 11
MATHS
Find the projection of the point (1,0) o...

Find the projection of the point (1,0) on the line joining the points (-1,2) and (5,4).

Text Solution

Verified by Experts

Line PQ is` x−3y+7=0` and the line through `(1,0)` perpendicular to it is `3x+y−3=0`. Solving we get the foot of perpendicular as `(1/5,12/5) `which is the projection of (1,0) on the given line.
Promotional Banner

Topper's Solved these Questions

  • THE CIRCLE

    RD SHARMA|Exercise Solved Examples And Exercises|144 Videos

  • TRANSFORMATION FORMULAE

    RD SHARMA|Exercise Solved Examples And Exercises|145 Videos

Similar Questions

Explore conceptually related problems

Find the projection of the point (1, 0) on the line joining the points P(-1, 2) and Q (5, 4).

Find the distance of the point (1,-2,3) from the line joining the points (-1,2,5) and (2,3,4).

Find the projection of the vector 4i-3j-k on the line joining the points (2,3,-1) and (-2,-4,3)

Find the distance of the point (0,-1) from the line joining the points (1,3) and (-2,6)

Find the midpoint of the line joining the points (3, 4) and (5, 2) .

Find the midpoint of the line joining the points (-5,7) and (-1,3).

Find the midpoint of the line joining the points (1, 3) and (3, 5).

Find the midpoint of the line joining the points (4, -1) and (-2, -3) .

Find the distance of the point (4, 2) from the line joining the points (4, 1) and (2,3).

Find the midpoint of the line joining the points (7,1) and (3,5).

RD SHARMA-THE STRAIGHT LINES -Solved Examples And Exercises
  1. Find the image of the point (3, 8)with respect to the line x + 3y = 7...

    Text Solution

    |

  2. Find the coordinates of the foot o the perpendicular from the point ...

    Text Solution

    |

  3. Find the projection of the point (1,0) on the line joining the points ...

    Text Solution

    |

  4. Find the equation of a line perpendicular to the line 3x+y+5=0 and at ...

    Text Solution

    |

  5. The line 2x+3y=12 meets the x-axis at A and y-axis at B. The line thro...

    Text Solution

    |

  6. Find the equation of the straight line which cuts off intercept on ...

    Text Solution

    |

  7. The equations of the perpendicular bisectors of the sides A Ba n dA C ...

    Text Solution

    |

  8. Find the angles between the pairs of straight lines: x+sqrt(3)y-5=0\ a...

    Text Solution

    |

  9. Find the angles between the pairs of straight lines: y=(2-sqrt(3))x+5\...

    Text Solution

    |

  10. Find the obtuse angle between the lines x-2y+3=0\ a n d\ 3x+y-1=0.

    Text Solution

    |

  11. A line passing through the points (a ,\ 2a) and (-2,\ 3) is perpendicu...

    Text Solution

    |

  12. The hypotenuse of a right angled triangle has its ends at the points...

    Text Solution

    |

  13. Find the angles between each of the following pairs of straight line: ...

    Text Solution

    |

  14. Find the angles between each of the following pairs of straight line: ...

    Text Solution

    |

  15. Find the angles between each of the following pairs of straight line: ...

    Text Solution

    |

  16. Find the angles between each of the following pairs of straight line: ...

    Text Solution

    |

  17. Find the acute angle between the lines 2x-y+3=0\ a n d\ x+y+2=0.

    Text Solution

    |

  18. Prove that the points (2,-1), (0,2), (2,3) and (4,0) are the coordi...

    Text Solution

    |

  19. Find the angle between the line joining the points (2,0), (0,3) and th...

    Text Solution

    |

  20. If theta\ is the angle which the straight line joining the points (x1...

    Text Solution

    |